Live analysis

1,004,441

1,004,441 is a prime, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

1,004,441 (one million four thousand four hundred forty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF5399.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Sophie Germain Prime Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,004,429 1,004,430 1,004,431 1,004,432 1,004,433 1,004,434 1,004,435 1,004,436 1,004,437 1,004,438 1,004,439 1,004,440 1,004,441 1,004,442 1,004,443 1,004,444 1,004,445 1,004,446 1,004,447 1,004,448 1,004,449 1,004,450 1,004,451 1,004,452 1,004,453

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 1,444,001
Square (n²): 1,008,901,722,481
Cube (n³): 1,013,382,255,030,538,121
Divisor count: 2
σ(n) — sum of divisors: 1,004,442
φ(n) — Euler's totient: 1,004,440

Primality

1,004,441 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1004441

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,004,441)

1 × 1004441

First multiples

1,004,441 · 2,008,882 (double) · 3,013,323 · 4,017,764 · 5,022,205 · 6,026,646 · 7,031,087 · 8,035,528 · 9,039,969 · 10,044,410

Sums & aliquot sequence

As a sum of two squares: 304² + 955²

As consecutive integers: 502,220 + 502,221

Continued fraction of √n

√1,004,441 = [1002; (4, 1, 1, 2, 2, 1, 1, 10, 1, 4, 16, 1, 1, 1, 3, 1, 1, 2, 1, 2, 1, 1, 2, 1, …)]

Period length 43 — the block in parentheses repeats forever.

Representations

In words: one million four thousand four hundred forty-one
Ordinal: 1004441st
Binary: 11110101001110011001
Octal: 3651631
Hexadecimal: 0xF5399
Base64: D1OZ
One's complement: 4,293,962,854 (32-bit)
Scientific notation: 1.004441 × 10⁶
As a duration: 1,004,441 s = 11 days, 15 hours, 41 seconds

In other bases

ternary (3) 1220000211112

quaternary (4) 3311032121

quinary (5) 224120231

senary (6) 33310105

septenary (7) 11352254

nonary (9) 1800745

undecimal (11) 626719

duodecimal (12) 405335

tridecimal (13) 292259

tetradecimal (14) 1c209b

pentadecimal (15) 14c92b

As an angle

1,004,441° = 2,790 × 360° + 41°

41° ≈ 0.716 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Chinese: 一百萬四千四百四十一
Chinese (financial): 壹佰萬肆仟肆佰肆拾壹

In other modern scripts

Eastern Arabic ١٠٠٤٤٤١ Devanagari १००४४४१ Bengali ১০০৪৪৪১ Tamil ௧௦௦௪௪௪௧ Thai ๑๐๐๔๔๔๑ Tibetan ༡༠༠༤༤༤༡ Khmer ១០០៤៤៤១ Lao ໑໐໐໔໔໔໑ Burmese ၁၀၀၄၄၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,004,429 (gap of 12)
Next prime: 1,004,449 (gap of 8)

Hex color

#0F5399

RGB(15, 83, 153)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.83.153.

Address: 0.15.83.153
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.83.153

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,004,441 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,004,441 on Google Patents ↗ Look up on USPTO ↗